Year 6 - Maths
Use a balanced equation to calculate unknown parts
Use equivalence and compensation to simplify and solve addition calculations
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils used the concept of same sum to simplify and solve addition problems.
Lesson Summary
You can use a balanced equation to calculate unknown parts.
Key Notes
- I've added __ to this part so I need to subtract __ from the other part to keep the sum the same.
- I've subtracted __ from this part so I need to add __ to this part to keep the sum the same.
- A balance beam can represent equivalent expressions.
Vocabulary To Learn
- Equation: An equation is used to show that one number, calculation or expression is equal to another.
- Expression: An expression contains one or more values, where each value is separated by an operator. Two or more expressions with the same value can be separated by an equals sign to create an equation.
- Whole: The whole is all the parts or everything, the total amount.
- Part: A part is some of the whole.
Common Mistakes To Avoid
- Often, pupils understand the equals symbol to be a big reveal or a 'ta-da!' rather than a symbol denoting equivalence. This can make the idea of a balanced equation tricky.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
I've added __ to this part so I need to subtract __ from the other part to keep the sum the same. I've subtracted __ from this part so I need to add __ to this part to keep the sum the same.
2. Use this key word in a maths sentence and explain it clearly. 'Equation'
An equation is used to show that one number, calculation or expression is equal to another. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Often, pupils understand the equals symbol to be a big reveal or a 'ta-da!' rather than a symbol denoting equivalence. This can make the idea of a balanced equation tricky. Correction: Explore pupils' understanding of the equal sign at the start of the lesson. For children who still find it a tricky concept, make use of bucket scales and plasticine to explore equivalence.
More Lessons In This Unit
- Explain how adjusting one part affects the sum Study Guide
- Solve addition calculations mentally by using known facts Study Guide
- Solve addition calculations mentally by using known facts in a range of contexts Study Guide
- Solve calculations with missing parts Study Guide
- Use equivalence and compensation strategies to solve addition problems in a range of contexts Study Guide
- Use equivalence and compensation strategies to solve problems Study Guide
- Using balanced equations to calculate redistribution Study Guide
- Using redistribution with addition of decimal fractions Study Guide
- Using redistribution with addition of integers Study Guide
Browse all guides in the Year 6 Maths guide library.